Properties

Examples

Example 1 Use the properties of logs to simplify the expression:

ProductToPowerEx1-1

Since this expression involves adding two exponents, Product of a Power Property will be used.

ProductToPowerEx1-2


Example 2 Use the properties of logs to simplify the expression:


ProductToPowerEx2-1
Step 1. Use the properties of logs to eliminate the coefficient.

Since this expression involves multiplying a number by an exponent, Power to a Power Property will be used.

ProductToPowerEx2-2

Step 2. Simplify to one log.

Since this expression involves subtracting two exponents, Quotient of a Power Property will be used.

ProductToPowerEx2-3